文章基本信息

标题：Fundamental solutions for semidiscrete evolution equations via Banach algebras
本地全文：下载
作者：Jorge González-Camus ; Carlos Lizama ; Pedro J. Miana 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2021
卷号：2021
期号：1
页码：1
DOI：10.1186/s13662-020-03206-7
出版社：Hindawi Publishing Corporation
摘要：We give representations for solutions of time-fractional differential equations that involve operators on Lebesgue spaces of sequences defined by discrete convolutions involving kernels through the discrete Fourier transform. We consider finite difference operators of first and second orders, which are generators of uniformly continuous semigroups and cosine functions. We present the linear and algebraic structures (in particular, factorization properties) and their norms and spectra in the Lebesgue space of summable sequences. We identify fractional powers of these generators and apply to them the subordination principle. We also give some applications and consequences of our results.
关键词：35R11 ; 35A08 ; 39A12